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Let y=−4cos(π/6x + 5π/3)−1
[a] Fill in the blanks. Simplify your answers.
Maximum y − value =
Middle y − value =
Minimum y − value =
Amplitude =
Period =
Phase shift =
y = ________________________________________________________.
[b] Find the coordinates for all points corresponding to the middle, top and bottom of the graph of the function for 2 complete periods, starting at the phase shift.
Point 1:
Point 2:
Point 3:
Point 4:
Point 5:
Point 6:
Point 7:
Point 8:
Point 9:
Amplitude and Phase shift:
The amplitude is the distance between the center line and the peak (or to the trough). Alternatively, we may take the height from the highest to the lowest position and split it by two.
The Phase Shift is the horizontal shift of the function from its normal location.
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